Finding the Third Proportional to 84,685.50 and 186,648

Step by Step Solution

1. Step 1: Write the proportion equation
   84,685.50 : 186,648 = 186,648 : x
2. Step 2: Convert to fraction form
   84,685.50/186,648 = 186,648/x
3. Step 3: Cross multiply
   84,685.50x = 186,648 × 186,648
4. Step 4: Simplify right side
   84,685.50x = 34,837,475,904
5. Step 5: Solve for x
   x = 34,837,475,904/84,685.50
6. Step 6: Final answer
   x = 411,374.74